A survey article on some subgroup embeddings and local properties for soluble PST-groups

• Published in: Algebra and Discrete Mathematics
• Date: 2017
• Main Author: Beidleman, J.C.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2017
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/156021
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A survey article on some subgroup embeddings and local properties for soluble PST-groups / J.C. Beidleman // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 2. — С. 197-203. — Бібліогр.: 20 назв. — англ.

Let G be a group and p a prime number. G is said to be a Yp-group if whenever K is a p-subgroup of G then every subgroup of K is an S-permutable subgroup in NG(K). The group G is a soluble PST-group if and only if G is a Yp-group for all primes p. One of our purposes here is to define a number of...